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Finding the Fourth Proportional to 273,380.20, 410,070.30 and 199,022.20

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Solution

The fourth proportional to 273,380.20, 410,070.30 and 199,022.20 is: 298,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,380.20 : 410,070.30 = 199,022.20 : x
  2. Step 2: Convert to fraction form
    273,380.20/410,070.30 = 199,022.20/x
  3. Step 3: Cross multiply
    273,380.20x = 410,070.30 × 199,022.20
  4. Step 4: Simplify right side
    273,380.20x = 81,613,093,260.66
  5. Step 5: Solve for x
    x = 81,613,093,260.66/273,380.20
  6. Step 6: Final answer
    x = 298,533.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.